Answer: 50%
Step-by-step explanation:
There's a 50% chance of landing on tails. So, it would land on tails about 100 times.
Answer:
9......
Step-by-step explanation:
A right-angled triangle in the image below will be formed.
Now, we will make use of the trigonometric rule......
But before that, how do know the perfect rule to apply so as to solve the problem?
#. The side facing the angle 65 deg. is called the Opposite side
#. The side facing the angle 90 deg. is called the Hypotenuse
#. While the last side is called the Adjacent
Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule
Sine(θ)=Opposite/Hypotenuse
Therefore,
Sine 64 = Opposite/10
Opposite = 10 x sine64
Opposite = 10 x 0.9
Opposite = 9cm
Answer:
The correct option is B. 23%
Step-by-step explanation:
Let the event that patient brushes his teeth at least twice a day is denoted by A
So, P(A) = 0.83
Let the event that patient flosses daily is denoted by B
So, P(B) = 0.47
Now, it is given that 19 percent patients brush at least twice a day and floss daily.
⇒ P(A and B) = 0.19
Now, we need to find conditional probability of occurring event B given A has occurred.

Hence, Nearest required percentage = 23%
Therefore, The correct option is B. 23%
Dimensions of rectangle = 12 + x and 14 + x
(12 + x) (14 + x) = 288
x^2 + 26x + 168 = 288
x^2 + 26x - 120 = 0
(x + 30) (x - 4) = 0
x=-30, x =4
since 4 is positive
the dimensions increased by 4 feet
check the answer
12+4 = 16
14 +4 = 18
18*16 =288
Answer:
=250(1.025)∧4t
Step-by-step explanation:
Using the compound interest formula we can find the expression for the total amount that accumulates in the given time t.
A=P(1+R/n)ⁿᵇ
where A is the amount, P the principal amount, R the rate as a decimal n is the number of times it is compounded and b the time.
When compounded annually, the expression becomes
A=250(1.1)∧t
When compounded quarterly, we introduce the n in our expression.
A=250(1+0.1/4)∧4t
=250(1.025)∧4t